Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

The diagram depicts the cross-section, taken through the centre of mass, of a uniform solid object. The object consists of a cylinder with radius $0.2\,\text{m}$ and length $0.7\,\text{m}$, from which a hemisphere of radius $0.2\,\text{m}$ has been cut away at one end. Point $A$ marks the centre of the plane face at the opposite end of the object. [$\text{The volume of a hemisphere is } \frac{2}{3}\pi r^3$ ]
(main)[5]

Determine the distance from $A$ to the centre of mass of the object.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Work out the volumes: cylinder $= \pi(0.22)^2(0.7)$ and hemisphere $= \frac{2\pi(0.2)^3}{3}$

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